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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Palindromic and perturbed polynomials: zeros location

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Author(s):
Botta, V. [1] ; Marques, L. F. [1] ; Meneguette, M. [1]
Total Authors: 3
Affiliation:
[1] Univ Estadual Paulista, Dept Matemat & Comp, Fac Ciencias & Tecnol, Presidente Prudente, SP - Brazil
Total Affiliations: 1
Document type: Journal article
Source: ACTA MATHEMATICA HUNGARICA; v. 143, n. 1, p. 81-87, JUN 2014.
Web of Science Citations: 2
Abstract

We give necessary and sufficient conditions for all zeros of the palindromic polynomial R(z)=1+lambda(z+z (2)+aEuro broken vertical bar+z (n-1))+z (n) , , to be on the unit circle and we find for which S(z)=R(z)+gamma z (n) , n natural, has all its zeros in the closed unit disc. (AU)

FAPESP's process: 13/08012-8 - Location of zeros of polynomials in the unit disc: problems and challenges
Grantee:Vanessa Avansini Botta Pirani
Support type: Regular Research Grants